Steiner Symmetrization and Periodic Solutions of Boundary Value Problems | Zendy

Friedemann Brock | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Steiner Symmetrization and Periodic Solutions of Boundary Value Problems

Author(s) -

Friedemann Brock

Publication year - 1994

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/504

Subject(s) - symmetrization , mathematics , value (mathematics) , boundary value problem , mathematical analysis , mathematical economics , calculus (dental) , statistics , medicine , dentistry

Let 1. = f(x,y) denote the monotone decreasing rearrangement of a function f = f(x ) y) with respect to y. If —u = f, —v = f in the domain Il = (0,1) x (0,1) and Ou = = 0 on the boundary 81 of 1, then oscu < oscv, where the quantity oscw for a On function w is defined as the difference supw infw. Similar results are proved for periodic solutions of some boundary value problems in cylindrical domains.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research